Psychology 202 - Test 2 Flashcards
hypothesis testing
a statistical method that uses sample data to evaluate a hypothesis about a population
hypothesis
the prediction about the relationship between two variables
critical value
set cut-off sample score
directional hypothesis
make a prediction regarding direction
i.e. increase…or decrease…
one-tail test
looking at one tail/extreme of the distribution
- 5% > 1.64
- 1% > 2.33
non-directional hypothesis
no prediction regarding direction
- just know there is a change, don’t know in/decrease
two-tail test
need to look/think about both extremes
- 5% > 1.96
- 1% > 2.57
distribution of means
set of sample means from a given population
rule #1
the mean of a distribution of means (μm) is the same as the mean of the population of individuals
rule #2a
The variance of the distribution of means is the variance of the population of individuals divided by the number of individuals in each sample
rule #2b
the standard deviation of the distribution of means is the square root of the variance of the distribution of means
rule #3
the shape of the distribution of means is approximately normal if at least one of the conditions is met
- sample size is 30 or more
- the distribution of the population of individual scores is normally distributed
Variance & SD formulas for Distribution of Means
variance –> δ²m = δ² / N
SD –> √δ²m = δ² / N or √δ²m
z-test
hypothesis testing procedure using the mean of the sample when the population variance is known
- comparing sample mean to distribution of means
z-test formula
Z = (M - μm) / δ²
statistical significance
the number is so extreme it is unlikely to have gotten it by chance
Alpha (α) - Type I Error
- the null is true and the data tells us to reject
i. e. jury finding innocent man guilty
Beta (β) - Type II Error
- the null is false and the data tells us to retain it
i. e. jury lets guilty man go free
comparing studies
- as long as you have statistical significance, neither score is more than the other
practical significance
difference meaningful in real-world context
- one leads to more improvement over other
effect sizes
the extent to which population means differ and distributions overlap
large effect size
little overlap with vastly different means
small effect size
a lot of overlap with different but close means
Cohen’s D
measure of effect size
- mean and how spread out the distribution is (SD/SE)
- allows us to examine practical significance (how different the groups are) and compare studies
effect size cut-offs
small = .2 medium = .5 large = .8
statistical power
the probability that a study will yield a statistically significant result if the research hypothesis is really true
- opposite is beta/type II error
what affects power
- effect size
- sample size
- significance level (alpha)
- one vs. two tailed tests
- statistical test
increase power
- more lenient cut-off (.05 over .01)
- increase sample size
- use one tail
- increase intensity of procedure
- be more precise > less diverse pop., standardized, controlled circumstances/more precise measurement